Mid 
MATHEMATICAL OPRAPERS. 169 
by making the remainder equal is 4, there will be z* + gre 
-++ 10r%e* — a, and then sre + lor!e* == a — r' ; and by 
divifion e* + + re" ; and by completing AMO we 
zor? 
ls 77 ar" r^ 7. 16a—6r> ^ Saey eta 
tall have e H- in nr dde om ies wert 
? 
and by extradting the fquare root, ¢ "f 5y and by 
fübtraction e — — qus MM sat adding r on both 
fides ; 7 -He=r— Nc : EIEE. Whence 
this rule : ^ 
d pe Hi 
Take the neareft root to the firft period of the refolvend, 
more or r lef Han jak, and annex as many cyphers, as there are 
g id, ad call it the affumed root. 
e rel cdm mioh the product take 3 times 
the fifth power-on the affumed root’; divide the remáinder by 
8o times the third power of the aflumed root, and'extra&:the 
fquare root of the quotient ; to which add three fourths of the 
affumed roots: and ie will give the furfolid toot corrected :—It 
pcne dine Hiw 
rs us Y an eR enr Pard: "uud he poe 
Seater foasai Teng the neareít furfolid root;to. 1249 
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d site 3 sr 1o, 550 1 
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